Consider the function y(x)=2+square root x-1
a) state the domain
b) state the range
c) draw a reasonable graph of the function

Question

Consider the function y(x)=2+square root x-1
a) state the domain
b) state the range
c) draw a reasonable graph of the function

colouringme · Answer

Okay, I'll try to help you, let's hope I remember this right...

First, you need to determine the domain, by eliminating impossible values.
you can square root almost all numbers except the ones that have...

colouringme · Answer

Actually, can you write down the equation again, using the equation button so I would know whether it is $$\sqrt{x-1}$$ or $$\sqrt{x} - 1$$

anonymous · Answer

$$y(x)=2+\sqrt{x-1}$$

colouringme · Answer

thanks!  do you know what is not allowed inside a square root, what value that is unacceptable?

anonymous · Answer

no it just states consider the function and then the equation no other info is given

colouringme · Answer

yes, but generally, you cannot obtain the result of square root if the value inside the square root is....

anonymous · Answer

to be completely honest i have no idea what it is asking

colouringme · Answer

what am I asking or what the question is about?

anonymous · Answer

its asking for the domain which has to stay real so all the square root numbers must be real numbers and obviously the range will just come after finding the domain and then i have to graph it based on the domain and range

colouringme · Answer

yes, so you know what value of x must be, right? 
what is the value of x, so that the value inside of the square root is no less than 0 ?

anonymous · Answer

yes because you cant do the square root of a negative number so it all has to be bigger than 0

colouringme · Answer

so x values are...

colouringme · Answer

write down it using any of these : > < or =

anonymous · Answer

wouldnt it be $$x >0$$ for the domain

colouringme · Answer

yes

anonymous · Answer

wait or would it be $$x \ge1$$
because it has to at least be 1 due to the -1

colouringme · Answer

yes that can do too

colouringme · Answer

I'd rather use the second one though,

anonymous · Answer

agreed alright so how to i find the range

anonymous · Answer

do*

colouringme · Answer

input the lowest possible value for the x, and you'll find the result, it would be the minimum value... You can also find it using graph (which is sadly, sorry, I quite can't help you with that one)

anonymous · Answer

alright thank you very much

colouringme · Answer

umm, have you found the range?

anonymous · Answer

im finding but my problem was understanding what was being asked so i got it

colouringme · Answer

ooh what is the answer ( I just want to make sure we're on the same page ;) )

anonymous · Answer

would it be $$y \ge2$$

colouringme · Answer

yas it is! (:

anonymous · Answer

thank you for all your help i really appreciate it

colouringme · Answer

you're nice and patient too!